Computation of the dyadic Green's function for electrically and magnetically anisotropic media

A homogeneous non-dispersive electrically and magnetically anisotropic media, characterized by a symmetric positive definite permittivity and permeability tensors are considered. An analytic method for deriving the time-dependent dyadic Green's function (DGF) in these anisotropic media is suggested. This method consists of the following: equations for each column of the DGF are reduced to symmetric hyperbolic system; using the Fourier transform with respect to space variables and matrix transformations we obtain formulae for Fourier images of the DGF columns; finally, the DGF is computed by the inverse Fourier transform. Computational examples confirm the robustness of the suggested method.